Assistant Professor

Department of Mathematics, Rutgers University — New Brunswick

Rm 342 Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854 USA

**Email**: lctsai.math@gmail.com

My curriculum vitae.

I am an assistant professor in the Department of Mathematics, Rutgers University — New Brunswick.

I obtained my Ph.D. in Mathematics at Stanford University in 2016, and conducted postdoctoral research at Columbia University as a Junior Fellow of the Simons Society of Fellows, from 2016 to 2019.

My research interest lies in probability theory, particularly asymptotic behaviors of large interacting particle systems, with a focus on their interplay between partial differential equations, stochastic partial differential equations, and integrable probability.

- Awardee, Bernoulli Society New Researcher Award, 2020
- NSF Grant $149k (DMS-1712575, DMS-1953407), 2017–21
- Junior Fellow, Simons Society of Fellows, 2016
- Graduate Fellow, Kavli Institute for Theoretical Physics, 2015

See also Google Scholar.

- Fractional moments of the Stochastic Heat Equation [arXiv]

with Sayan Das. - Moments of the 2D SHE at criticality [arXiv]

with Yu Gu and Jeremy Quastel. Submitted - Exact lower tail large deviations of the KPZ equation [arXiv]

Submitted - SPDE Limit of Weakly Inhomogeneous ASEP [arXiv]

with Ivan Corwin. Submitted

- Stochastic PDE Limit of the Six Vertex Model [arXiv]

with Ivan Corwin, Promit Ghosal, and Hao Shen. To appear in Comm. Math. Phys. 2020 - Another look into the Wong-Zakai Theorem for Stochastic Heat Equation [arXiv][MR]

with Yu Gu. Ann. Appl. Probab. 29(5) 3037–3061, 2019 - Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model [arXiv][MR]

with Hao Shen. Proceedings of the AMS 147(6) 2685–2705, 2019 - Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv][MR]

with Stefano Olla. Electron. J. Probab. 24(16) 1–71, 2019 - Criticality of a randomly-driven front [arXiv][SharedIt][MR]

with Amir Dembo. Arch. Rational Mech. Anal. 233(2), 643–699, 2019 - Coulomb-gas electrostatics controls large fluctuations of the KPZ equation [arXiv]

with Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, and Pierre Le Doussal.

Phys. Rev. Lett. 121(6) 060201, 2018 - Stationary Distributions of the Atlas Model [arXiv][MR]

Electron. C. Probab. 23(10) 1–10, 2018 - ASEP(q,j) converges to the KPZ equation [arXiv][MR]

with Ivan Corwin and Hao Shen. Ann. Inst. Henri Poincare (B) Probab. Stat. 54(2) 995–1012, 2018 - Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv][MR]

with Wenpin Tang. Ann. Prob. 46(3) 1597–1650, 2018 - Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv][MR]

with Andrey Sarantsev. Electron. J. Probab. 22(56) 1–20, 2017 - Equilibrium Fluctuation of the Atlas Model [arXiv][MR]

with Amir Dembo. Ann. Prob. 45(6B) 4529–4560, 2017 - KPZ equation limit of higher-spin exclusion processes [arXiv][MR]

with Ivan Corwin. Ann. Prob. 45(3) 1771–1798, 2017 - Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][SharedIt][MR]

Probab. Theory Related Fields. 166(3) 801–850, 2016 - Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]

with Amir Dembo. Comm. Math. Phys. 341(1) 219–261, 2016 - Equilibrating effects of boundary and collision in rarefied gases [MR]

with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 328(2) 421–480, 2014 - Free molecular flow with boundary effect [MR]

with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 318(2) 375–409, 2013 - Viscous shock propagation with boundary effect [MR]

Bull. Inst. Math. Acad. Sin. (N.S.) 6(1) 1–25, 2011

- Fall 2019, Rutgers, MATH 550: Linear algebra and applications
- Fall 2017, Columbia, MATH 1102: Calculus II